We know that if K is between H and J that HK+KJ=HJ therefore by substitution, x-5+5x-12=25
6x-17=25
6x=42
x=7
F(x)=(x-8)/(x+7). g(x)=(-7x-8)/(x-1). Plug in g(x) into f(x), f(g(x))=[(-7x-8)/(x-1)-8]/[-7x-8)/(x-1)+7], which can be simplified as (-7x-8-8x+8)/(-7x-8+7x-7)=-15x/-15=x. Plug in f(x) into g(x), g(f(x))=[-7*(x-8)/(x+7)-8]/[(x-8)/(x+7)-1]=(-7x+56-8x-56)/(x-8-x-7)=-15x/-15=x, as desired.
Answer:
yes
Step-by-step explanation:
When the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. 6: 8: 10 follow those terms, henceforth, then the triangle is a right triangle
